Question

A cafe only sells two types of sandwiches, turkey and steak. The cafe charges $4 for turkey sandwiches and $6 for steak sandwiches. Last month, the cafe sold $4524 worth of sandwiches. The cafe sold a total of 925 sandwiches.

How many turkey sandwiches did they sell?

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Answer 1

They sold 513 turkey sandwiches!

Hope this helps!

Answer 2

They sold a total of 513 turkey sandwiches

Explanation:

This is a question on simultaneous equation

Let the number of steak sandwiches = S

Let the number of turkey sandwiches = T

T + S = 925 (Equation 1)

4 T + 6 S = 4,524 (Equation 2)

Using substitution method to solve the simultaneous equation

From Equation 1 T + S = 925

T = 925 - S

Substitute 925 - S for T in equation 2

4 (925 - S) + 6 S = 4,524

3,700 - 4 S + 6 S = 4,524

3,700 + 2 S = 4,524

Subtract 3,700 from both sides

3,700 - 3,700 + 2 S = 4,524 - 3,700

2 S = 824

Divide both sides by the coefficient of S (i.e. 2)

(2 S)/2 = 824/2

S = 412

Substitute 412 for S in equation 1

T + S = 925

T + 412 = 925

Subtract 412 from both sides

T + 412 - 412 = 925 - 412

T = 513

That is, the cafe sold 513 turkey sandwiches and 412 of steak sandwiches

Checks for (Equation 1):

T + S = 925 (Equation 1)

513 + 412 = 925 (Equation 1)

Checks for (Equation 2):

4 T + 6 S = 4,524 (Equation 2)

4 (513) + 6 (412) = 4,524 (Equation 2)

2,052 + 2,472 = 4524